Answer:
Step-by-step explanation:
<u>Sum of the interior angles of a regular polygon:</u>
- S(n) = 180°(n - 2), where n- number of sides
<h3>Exercise 4</h3>
<u>Pentagon has sum of angles:</u>
- S(5) = 180°(5 - 2) = 540°
<u>Sum the given angles and find x:</u>
- x° + 122° + 100° + 90° + 144° = 540°
- x° + 456° = 540°
- x° = 540° - 456°
- x° = 84°
<h3>Exercise 5</h3>
<u>Hexagon has sum of angles:</u>
- S(6) = 180°(6 - 2) = 720°
<u>Sum the given angles and find x:</u>
- x° + 110° + 160° + 105° + 105° + 115° = 720°
- x° + 595° = 720°
- x° = 720° - 595°
- x° = 125°
Answer:
11 13/15
Step-by-step explanation:
-3 2/3+b = 8 1/5
Add 3 2/3 to each side
-3 2/3 + 3 2/3+b = 8 1/5+ 3 2/3
b = 8 1/5 + 3 2/3
We need to get a common denominator of 15
8 1/5 = 8 3/15
3 2/3 = 3 10/15
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11 13/15
